107472 has 20 divisors (see below), whose sum is σ = 277760. Its totient is φ = 35808.

The previous prime is 107467. The next prime is 107473. The reversal of 107472 is 274701.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107473) by changing a digit.

107472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1072 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2¹⁰⁷⁴⁷² is an apocalyptic number.

107472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107472 is an abundant number, since it is smaller than the sum of its proper divisors (170288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107472 is a wasteful number, since it uses less digits than its factorization.

107472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 107472 is about 327.8292238346. The cubic root of 107472 is about 47.5442984713.

The spelling of 107472 in words is "one hundred seven thousand, four hundred seventy-two", and thus it is an iban number.